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Finding the Third Proportional to 479,447 and 1,033,617

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Solution

The third proportional to 479,447 and 1,033,617 is: 2,228,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,447 : 1,033,617 = 1,033,617 : x
  2. Step 2: Convert to fraction form
    479,447/1,033,617 = 1,033,617/x
  3. Step 3: Cross multiply
    479,447x = 1,033,617 × 1,033,617
  4. Step 4: Simplify right side
    479,447x = 1,068,364,102,689
  5. Step 5: Solve for x
    x = 1,068,364,102,689/479,447
  6. Step 6: Final answer
    x = 2,228,325.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.